Generalization of integral inequalities of the type of Hermite-Hadamard through invexity

Shahid Qaisara,* and Sabir Hussainb

Generalization of integral inequalities of the type of Hermite-Hadamard through invexity

Authors :

Shahid Qaisar^a,* and Sabir Hussain^b

Author Address :

^aDepartment of Mathematics, Comsats Institute of Information Technology Sahiwal Pakistan.
^bDepartment of Mathematics, College of Science, Qassim University,P.O. Box 6644, Buraydah 51482, Saudi Arabia.

**Corresponding author.

Abstract :

In this paper, we obtain some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are prequasiinvex function. Applications to some special means are considered.

Keywords :

Hermite-Hadamard inequality; quasi-convex function; power-mean inequality; Holder’s integral inequality.

DOI :

Article Info :

Received : September 04, 2014; Accepted : December 15, 2014.